Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000466">
                <pb pagenum="95" xlink:href="010/01/103.jpg"/>
                <arrow.to.target n="marg111"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000467">
                <margin.target id="marg111"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000468">
                <emph type="center"/>
              PROP. XLII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000469">
                <emph type="center"/>
                <emph type="italics"/>
              Et primò oſtendemus, quòd quodlibet corpus à principio in­
                <lb/>
              trinſeco, & naturali ſponte translatum faciliùs, &
                <lb/>
              celeriùs mouebitur in fluido rariori, & tenuio­
                <lb/>
              ri, quàm in medio fluido craſſo, &
                <lb/>
              tenaciori.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000470">SInt duo vaſa GHIK, alterum KILM,
                <expan abbr="primũ">primum</expan>
              aqua
                <lb/>
              repleatur, ſecundum verò hydrargyro, immer­
                <lb/>
              gatur verò eadem pila lignea A in vtroque fluido, in­
                <lb/>
              telliganturque duæ moles ſpatiales ex prædictis flui­
                <lb/>
              dis B, & C, quæ æquales ſint ipſi A, eique
                <expan abbr="ſuperincũ-bant">ſuperincun­
                  <lb/>
                bant</expan>
              , patet ergò quòd mercurij moles C grauior re­
                <lb/>
              ſiſtentior, denſior, atque compactior eſt, quàm ſit
                <lb/>
                <figure id="id.010.01.103.1.jpg" xlink:href="010/01/103/1.jpg" number="40"/>
                <lb/>
              moles aquę B. præterea pila lignea
                <lb/>
              A nullo pacto aſcendere ſursùm po­
                <lb/>
              teſt, niſi aquam B, ab eius loco ex­
                <lb/>
              pellat vt ei locum cedat, atque mo­
                <lb/>
              les ipſius ligni A
                <expan abbr="trãsferatur">transferatur</expan>
              ad oc­
                <lb/>
              cupandum ſpatium ei æquale B, &
                <lb/>
              hoc ſemper contingit, vbique enim
                <lb/>
              in
                <expan abbr="aſcẽſu">aſcenſu</expan>
              cogitur continuato niſu
                <lb/>
              ſursùm impellere incumbentem a­
                <lb/>
              quæ molem ei æqualem, tenacita­
                <lb/>
              temque eius penetrare, ponatur iam gradus natura­
                <lb/>
              lis impetus leuitatis ipſius ligni eſſe D, quia verò cor­
                <lb/>
              pus motiuum A impetu D affectum impellit corpus
                <lb/>
              B fluidum, quod in quiete conſtitutum ſua naturali </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>